505134431505 has 48 divisors (see below), whose sum is σ = 964620446400. Its totient is φ = 242488752000.

The previous prime is 505134431489. The next prime is 505134431561.

505134431505 is a `hidden beast` number, since 50 + 5 + 13 + 443 + 150 + 5 = 666.

505134431505 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 505134431505 - 2⁴ = 505134431489 is a prime.

It is a super-3 number, since 3×505134431505³ (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 505134431505.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5001855 + ... + 5101844.

It is an arithmetic number, because the mean of its divisors is an integer number (20096259300).

Almost surely, 2^505134431505 is an apocalyptic number.

505134431505 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

505134431505 is a deficient number, since it is larger than the sum of its proper divisors (459486014895).

505134431505 is a wasteful number, since it uses less digits than its factorization.

505134431505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10103822 (or 10103819 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

It can be divided in two parts, 505134 and 431505, that added together give a palindrome (936639).

The spelling of 505134431505 in words is "five hundred five billion, one hundred thirty-four million, four hundred thirty-one thousand, five hundred five".